42352113140400 has 360 divisors, whose sum is σ = 157876867108800. Its totient is φ = 9676860049920.

The previous prime is 42352113140399. The next prime is 42352113140423. The reversal of 42352113140400 is 404131125324.

It is a super-2 number, since 2×42352113140400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158567767 + ... + 158834633.

It is an arithmetic number, because the mean of its divisors is an integer number (438546853080).

Almost surely, 2^{42352113140400} is an apocalyptic number.

42352113140400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42352113140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78938433554400).

42352113140400 is an abundant number, since it is smaller than the sum of its proper divisors (115524753968400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42352113140400 is a wasteful number, since it uses less digits than its factorization.

42352113140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269601 (or 269583 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 42352113140400 its reverse (404131125324), we get a palindrome (42756244265724).

The spelling of 42352113140400 in words is "forty-two trillion, three hundred fifty-two billion, one hundred thirteen million, one hundred forty thousand, four hundred".